Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848z |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22016 |
Modular degree for the optimal curve |
Δ |
-4487616 = -1 · 26 · 33 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39,40] |
[a1,a2,a3,a4,a6] |
j |
3796416/2597 |
j-invariant |
L |
3.0905599987141 |
L(r)(E,1)/r! |
Ω |
1.5452798839088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106848x1 106848c1 |
Quadratic twists by: -4 -3 |